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284069952 = 2632493177
BaseRepresentation
bin10000111011101…
…001000001000000
3201210112020201100
4100323221001000
51040210214302
644104334400
710016361165
oct2073510100
9653466640
10284069952
11136393a61
127b174400
1346b1103a
1429a2806c
1519e13d1c
hex10ee9040

284069952 has 42 divisors (see below), whose sum is σ = 814236878. Its totient is φ = 94689792.

The previous prime is 284069923. The next prime is 284069959. The reversal of 284069952 is 259960482.

It can be written as a sum of positive squares in only one way, i.e., 178062336 + 106007616 = 13344^2 + 10296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 284069898 and 284069907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284069959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 246013 + ... + 247164.

Almost surely, 2284069952 is an apocalyptic number.

It is an amenable number.

284069952 is an abundant number, since it is smaller than the sum of its proper divisors (530166926).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

284069952 is a wasteful number, since it uses less digits than its factorization.

284069952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493195 (or 493182 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 284069952 is about 16854.3748623317. The cubic root of 284069952 is about 657.3678083408.

The spelling of 284069952 in words is "two hundred eighty-four million, sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 493177 986354 1479531 1972708 2959062 3945416 4438593 5918124 7890832 8877186 11836248 15781664 17754372 23672496 31563328 35508744 47344992 71017488 94689984 142034976 284069952